3 4/9 as a Decimal

Answer

3 4/9 in decimals can be written as 3.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 3 4/9 in decimal, we will first convert the fractional part using the division method. Let's break down the process step by step:

Step 1: Identify the fractional part, which is 4/9. The numerator (4) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: Divide 4 by 9. Since 4 is smaller than 9, we add a decimal point and convert 4 into 40.

Step 3: Divide 40 by 9. 9 goes into 40 four times since 9 × 4 = 36.

Step 4: Subtract 36 from 40, which gives us 4. Bring down a 0, making it 40 again, and repeat the division process.

Step 5: The division process continues, and we don't get a remainder of 0. This process results in a recurring decimal. Finally, add the whole number part, which is 3, to get the complete decimal: 3.4444...

The answer for 3 4/9 as a decimal will be 3.4444……

• Mixed Number: A number consisting of an integer and a fraction.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.